Chapter 3 Pair of Linear Equations in Two Variables- MCQ Online Test 2 Class 10 Maths

1.The solution of px + qy = p – q and qx – py = p + q is

x = 1 and y = – 1
x = – 1 and y = 1
x = 0 and y = 0
x = 1 and y = 1

2. The value of ‘a’ so that the point (3, a) lies on the line represented by 2x – 3y = 5 is

-1/3
-1
1
1/3

3. If (x + 1) is a factor of 2x³ + ax² + 2bx + 1, then find the values of ‘a’ and ‘b’, given that 2a – 3b = 4

a = 5 and b = 2
a = – 5 and b = – 2
a = 5 and b = – 2
a = – 5 and b = 2

4. The lines representing the pair of equations 5x – 4y + 8 = 0 and 7x + 6y – 9 = 0

are parallel
none of these
intersect at a point
are coincident

5. The angles of a triangle arex°, y° and 40°. The difference between the two angles ‘x’ and ‘y’ is 30°, then

x°= 85° and y°= 55°
x° = 75° and y° = 45°
none of these
x°= 65° and y° = 95°

6. 5 pencils and 7 pens together cost Rs.50 whereas 7 pencils and 5 pens together cost Rs.46. The cost of 1 pen is

Rs.6
Rs.3
Rs.4
Rs.5

7. The lines representing the pair of equations 9x + 3y + 12 = 0 and 18x + 6y + 24 = 0

are parallel
intersected at two points
are coincident
intersect at a point

8. The lines representing the pair of equations 6x – 3y + 10 = 0 and 2x – y + 9 = 0

are coincident
are parallel
Intersect at a point
Intersected at two points

9. The system of equations x – 4y = 8, 3x – 12y = 24

may or may not have a solution
has no solution
has infinitely many solutions
has a unique solution

10. The sum of the digits of a two digit number is 9. Nine times this number is twice the number obtained by reversing the digits, then the number is

27
72
18
81

[WpProQuiz 205]